# bdist.pixels

0th

Percentile

##### Distance to Boundary of Window

Computes the distances from each pixel in a window to the boundary of the window.

Keywords
spatial, math
##### Usage
bdist.pixels(w, …, style="image", method=c("C", "interpreted"))
##### Arguments
w

A window (object of class "owin").

Arguments passed to as.mask to determine the pixel resolution.

style

Character string determining the format of the output: either "matrix", "coords" or "image".

method

Choice of algorithm to use when w is polygonal.

##### Details

This function computes, for each pixel $u$ in the window w, the shortest distance $d(u, W^c)$ from $u$ to the boundary of $W$.

If the window is a binary mask then the distance from each pixel to the boundary is computed using the distance transform algorithm distmap.owin. The result is equivalent to distmap(W, invert=TRUE).

If the window is a rectangle or a polygonal region, the grid of pixels is determined by the arguments "\dots" passed to as.mask. The distance from each pixel to the boundary is calculated exactly, using analytic geometry. This is slower but more accurate than in the case of a binary mask.

For software testing purposes, there are two implementations available when w is a polygon: the default is method="C" which is much faster than method="interpreted".

##### Value

If style="image", a pixel image (object of class "im") containing the distances from each pixel in the image raster to the boundary of the window.

If style="matrix", a matrix giving the distances from each pixel in the image raster to the boundary of the window. Rows of this matrix correspond to the $y$ coordinate and columns to the $x$ coordinate.

If style="coords", a list with three components x,y,z, where x,y are vectors of length $m,n$ giving the $x$ and $y$ coordinates respectively, and z is an $m \times n$ matrix such that z[i,j] is the distance from (x[i],y[j]) to the boundary of the window. Rows of this matrix correspond to the $x$ coordinate and columns to the $y$ coordinate. This result can be plotted with persp, image or contour.

owin.object, erosion, bdist.points, bdist.tiles, distmap.owin.

• bdist.pixels
##### Examples
# NOT RUN {
u <- owin(c(0,1),c(0,1))
d <- bdist.pixels(u, eps=0.01)
image(d)
d <- bdist.pixels(u, eps=0.01, style="matrix")
mean(d >= 0.1)
# value is approx (1 - 2 * 0.1)^2 = 0.64
# }

Documentation reproduced from package spatstat, version 1.57-1, License: GPL (>= 2)

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